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Warp wrote:
> Do you mean that it's not possible to choose a value from an infinite
> set of values?
No. I mean it's impossible for you, Warp, to choose a value from an infinite
set of values, in *exactly* the same way it's impossible to have an infinite
number of monkeys typing Shakespeare. Your brain is physically incapable of
picking any one of those values with equal probability because there are
infinite numbers of choices which you are capable of expressing or thinking
about, due to being finite yourself.
Hence, when you pick "0.5", you haven't picked it from the infinite number
of choices available, but from the finite subset you have ever in y our life
ever happened to think about beforehand.
> (Isn't that the axiom of choice?)
Not exactly, no. The axiom of choice says that if you have a set of infinite
cardinality where each element is a set of infinite cardinality, it's
possible to create an infinite set by picking one element of each of the
subsets.
--
Darren New, San Diego CA, USA (PST)
There's no CD like OCD, there's no CD I knoooow!
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